Abstract
Human mobility plays a major role in the spread of communicable diseases. Remote Indigenous populations in Australia tend to have a higher risk of communicable diseases, and although high levels of mobility at the household, community and regional scale are prevalent in these communities, limited data are available on the movement patterns of these populations. This project is motivated by the need to understand and model human mobility in rural regions when hampered by imperfect data, and aims to develop a robust methodology with techniques incorporated to address missing data and integrate multiple sources of data. In this study, I introduce numerous innovations to shed light on imperfect movement data. I applied Generalised Linear Mixed E↵ects Modelling (GLMM) for longitudinal data to understand the long-and medium-term mobility in Indigenous communities. I used Multiple Imputation by Chained Equations (MICE) to address the missing data and Two Sample Two Stage Least Squares (TSTSLS) estimation to combine two data sets with di↵erent variables. The significance of this project is that it creates new knowledge for modelling human mobility with longitudinal data and making inferences based on imperfect data from multiple sources. This knowledge could be e↵ectively used to understand human mobility which could be applied in real world situations such as infectious disease surveillance and control. vii Acknowledgements I first thank my principal supervisor Prof. Andrew Robinson and my cosupervisors Dr. Nic Geard and Dr. Trish Campbell. Your guidance, constructive feedback, support and your encouragement were invaluable in completing this journey. Thank you very much for giving me the opportunity to work with you, your time and encouragement to work independently to solve the challenges and expand my skills throughout the project.
References (154)
- Andrews RM, Kearns T, Connors C, Parker C, Carville K, Currie BJ, Carapetis JR. 2009. A regional initiative to reduce skin infections amongst aboriginal children living in remote communities of the Northern Territory, Australia. PLOS Neglected Tropical Diseases 3(11):e554 DOI 10.1371/journal.pntd.0000554. Australian Bureau of Statistics. 2011. Dwelling Characteristics (2011). TableBuilder. Findings based on use of ABS TableBuilder data. Available at http:// www.abs.gov. au/ websitedbs/ censushome.nsf/ home/ historicaldata2011?opendocument&navpos=280.
- Diekmann O, Heesterbeek JA, Metz JA. 1990. On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations. Journal of Mathematical Biology 28(4):365-382 DOI 10.1007/BF00178324.
- Vino et al. (2017), PeerJ, DOI 10.7717/peerj.3958 14/17
- Flint SM, Davis JS, Su JY, Oliver-Landry EP, Rogers BA, Goldstein A, Thomas JH, Parameswaran U, Bigham C, Freeman K, Goldrick P, Tong SYC. 2010. Dispropor- tionate impact of pandemic (H1N1) 2009 influenza on Indigenous people in the Top End of Australia's Northern Territory. Medical Journal of Australia 192(10):617-622.
- Fournet J, Barrat A. 2014. Contact patterns among high school students. PLOS ONE 9(9):e107878 DOI 10.1371/journal.pone.0107878.
- Geard N, Glass K, McCaw JM, McBryde ES, Korb KB, Keeling MJ, McVernon J. 2015. The effects of demographic change on disease transmission and vaccine impact in a household structured population. Epidemics 13:56-64 DOI 10.1016/j.epidem.2015.08.002.
- Ghani AC, Baguelin M, Griffin J, Flasche S, Van Hoek AJ, Cauchemez S, Donnelly C, Robertson C, White M, Truscott J, Fraser C, Garske T, White P, Leach S, Hall I, Jenkins H, Ferguson N, Coooper B. 2010. The early transmission dynamics of H1N1 pdm influenza in the United Kingdom. PLOS Currents Influenza 1:RRN1130 DOI 10.1371/currents.RRN1130.Authors.
- House T, Keeling MJ. 2009. Household structure and infectious disease transmission. Epidemiology and Infection 137(05):654-661 DOI 10.1017/S0950268808001416.
- Laskowski M, Mostaço-Guidolin LC, Greer AL, Wu J, Moghadas SM. 2011. The impact of demographic variables on disease spread: influenza in remote communities. Scientific Reports 1:105 DOI 10.1038/srep00105.
- Li MY, Graef JR, Wang L, Karsai J. 1999. Global dynamics of a SEIR model with varying total population size. Mathematical Biosciences 160:191-213 DOI 10.1016/S0025-5564(99)00030-9.
- McDonald E, Bailie R, Brewster D, Morris P. 2008. Are hygiene and public health interventions likely to improve outcomes for Australian Aboriginal children living in remote communities? A systematic review of the literature. BMC Public Health 8:153 DOI 10.1186/1471-2458-8-153.
- Morphy F. 2006. Lost in translation? Remote Indigenous households and definitions of the family. Family Matters 73:23-31 DOI 10.1136/bmj.39535.519167.4E.
- Morphy F. 2007. Unicontained Subjects: 'population' and 'Household' in remote Aboriginal Australia. Journal of Population Research 24(2):163-184 DOI 10.1007/BF03031929.
- Mossong J, Hens N, Jit M, Beutels P, Auranen K, Mikolajczyk R, Massari M, Salmaso S, Tomba GS, Wallinga J, Heijne J, Sadkowska-Todys M, Rosinska M, Edmunds WJ. 2008. Social contacts and mixing patterns relevant to the spread of infectious diseases. PLOS Medicine 5(3):e74 DOI 10.1371/journal.pmed.0050074.
- Panaretto KS, Smallwood VE, Cole P, Elston J, Whitehall JS. 2002. Sudden infant death syndrome risk factors in north Queensland: a survey of infant-care practices in Indigenous and non-Indigenous women. Journal of Paediatrics and Child Health 38(2):129-134 DOI 10.1046/j.1440-1754.2002.00759.x.
- Prabhu A, Tully PJ, Bennetts JS, Tuble SC, Baker RA. 2013. The morbidity and mortal- ity outcomes of indigenous Australian peoples after isolated coronary artery bypass graft surgery: the influence of geographic remoteness. Heart Lung and Circulation 22(8):599-605 DOI 10.1016/j.hlc.2013.01.003.
- Prout S. 2008. On the move? Indigenous temporary mobility practices in Australia. Canberra: The Australian National University.
- Rea E, Lafleche J, Stalker S, Guarda BK, Shapiro H, Johnson I, Bondy SJ, Upshur R, Russel ML, Eliasziw M. 2007. Duration and distance of exposure are important predictors of transmission among community contacts of Ontario SARS cases. Epidemiology and Infection 135:914-921 DOI 10.1017/S0950268806007771.
- Rolls DA, Geard NL, Warr DJ, Nathan PM, Robins GL, Pattison PE, McCaw JM, McVernon J. 2015. Social encounter profiles of greater Melbourne residents, by location-a telephone survey. BMC Infectious Diseases 15:494 DOI 10.1186/s12879-015-1237-9.
- Sayers S, Singh G, Mackerras D, Lawrance M, Gunthorpe W, Jamieson L, Davison B, Schutz K, Fitz J. 2009. Australian Aboriginal Birth Cohort study: follow- up processes at 20 years. BMC International Health and Human Rights 9:23 DOI 10.1186/1472-698X-9-23.
- Sayers SM, Mackerras D, Singh G, Bucens I, Flynn K, Reid A. 2003. An Australian Aboriginal Birth Cohort: a unique resource for a life course study of an Indigenous population. A study protocol. BMC International Health and Human Rights 3:1 DOI 10.1186/1472-698X-3-1.
- Sayers SM, Mackerras D, Singh GR. 2017. Cohort profile: the Australian Aboriginal Birth Cohort (ABC) study. International Journal of Epidemiology Epub ahead of print Jan 7 2017 DOI 10.1093/ije/dyw291.
- Sayers SM, Powers JR. 1993. Birth size of Australian Aboriginal babies. The Medical Journal of Australia 159:586-591.
- Smieszek T. 2009. A mechanistic model of infection: why duration and intensity of contacts should be included in models of disease spread. Theoretical Biology and Medical Modelling 6:25 DOI 10.1186/1742-4682-6-25.
- Smieszek T, Barclay VC, Seeni I, Rainey JJ, Gao H, Uzicanin A, Salathé M. 2014. How should social mixing be measured: comparing web-based survey and sensor-based methods. BMC Infectious Diseases 14:136 DOI 10.1186/1471-2334-14-136.
- Smieszek T, Castell S, Barrat A, Cattuto C, White PJ, Krause G. 2016. Contact diaries versus wearable proximity sensors in measuring contact patterns at a conference: method comparison and participants' attitudes. BMC Infectious Diseases 16:341 DOI 10.1186/s12879-016-1676-y.
- Stehle J, Voirin N, Barrat A, Pinton J-F, Quaggiotto M, Den Broeck WV, Regis C, Lina B, Vanhems P. 2011. High-resolution measurements of face-to-face contact patterns in a primary school. PLOS ONE 6(8):e23176 DOI 10.1371/journal.pone.0023176.
- Tasani M, Tong SYC, Andrews RM, Holt DC, Currie BJ, Carapetis JR, Bowen AC. 2016. The importance of scabies coinfection in the treatment considerations for impetigo. Pediatric Infectious Disease Journal 35(4):374-378 DOI 10.1097/inf.0000000000001013.
- Trauer JM, Laurie KL, McDonnell J, Kelso A, Markey PG. 2011. Differential effects of pandemic (H1N1) 2009 on remote and indigenous groups, Northern Territory, Australia, 2009. Emerging Infectious Diseases Journal 17(9):1615-1623 DOI 10.3201/eid1709.101196.
- Tuite AR, Greer AL, Whelan M, Winter AL, Lee B, Yan P, Wu J, Moghadas S, Buck- eridge D, Pourbohloul B, Fisman DN. 2010. Estimated epidemiologic parameters and morbidity associated with pandemic H1N1 influenza. Canadian Medical Association Journal 182(2):131-136 DOI 10.1503/cmaj.091807.
- Viboud C, Boëlle PY, Cauchemez S, Lavenu A, Valleron AJ, Flahault A, Carrat F. 2004. Risk factors of influenza transmission in households. British Journal of General Practice 54(506):684-689 DOI 10.1016/j.ics.2004.01.013. Bibliography
- Agresti, Alan (2002). Categorical Data Analysis. Vol. 2, pp. 0-701. isbn: 978- 0-273-69519-6. doi: 10.1002/ajh.23626. arXiv: arXiv:1011.1669v3.
- Akaike, Hirotugu (1973). "Information theory and an extension of the maxi- mum likelihood principle". In: Second International Symposium on Infor- mation Theory, pp. 267-281.
- Allen, Edward J. (2004). "Jump-di↵usion model for the global spread of an amphibian disease". In: International Journal of Numerical Analysis and Modeling 1.2, pp. 173-187. issn: 17055105.
- Angrist, Joshua D. and Alan B. Krueger (1992). "The e↵ect of age at school entry on educational attainment: An application of instrumental variables with moments from two samples". In: Journal of the Amer- ican Statistical Association 87.418, pp. 328-336. issn: 1537274X. doi: 10.1080/01621459.1992.10475212.
- Angrist, Joshua D. and Jorn-Ste↵en Pischke (2009). "Instrumental Variables in Action : Sometimes You Get What You Need". In: Mostly Harmless Econometrics. Princeton University Press. Chap. Chapter 4. url: url: https://www.jstor.org/stable/j.ctvcm4j72.11.
- Auld, Glenn, Ilana Snyder, and Michael Henderson (2012). "Using mobile phones as placed resources for literacy learning in a remote Indigenous community in Australia". In: Language and Education 26.4, pp. 279-296. issn: 09500782. doi: 10.1080/09500782.2012.691512. Australian Bureau of Statistics (2016). url: https://www.abs.gov.au/ websitedbs/censushome.nsf/home/2016.
- Azur, Melissa J et al. (2011). "Multiple Imputation by Chained Equations - What is it and how does it work?" In: Int J Methods Psychiatr Res 20.1, pp. 40-49. doi: 10.1002/mpr.329.Multiple.
- Balcan, Duygu et al. (2009). "Multiscale mobility networks and the spatial spreading of infectious diseases." In: Proceedings of the National Academy of Sciences of the United States of America 106.51, pp. 21484-21489. issn: 0027-8424. doi: 10.1073/pnas.0906910106. arXiv: 0907.3304.
- Barbosa, Hugo et al. (2018). "Human mobility: Models and applications". In: Physics Reports 734, pp. 1-74. issn: 03701573. doi: 10.1016/j.physrep. 2018.01.001. arXiv: 1710.00004. url: https://doi.org/10.1016/j. physrep.2018.01.001.
- Barbosa-Filho, Hugo et al. (2017). "Human Mobility: Models and Applica- tions". In: arXiv: 1710.00004. url: http://arxiv.org/abs/1710.
- Barnes, Sunni A, Stacy R Lindborg, and John W Seaman Jr (2006). "Multiple imputation techniques in small sample clinical trials". In: Statistics in Medicine 25, pp. 233-245. doi: 10.1002/sim.2231.
- Barrat, A. et al. (2004). "The architecture of complex weighted networks." In: Proceedings of the National Academy of Sciences of the United States of America 101.11, pp. 3747-3752. issn: 0027-8424. doi: 10.1073/pnas. 0400087101. arXiv: 0311416 [cond-mat].
- Bates, Douglas et al. (2015). "Fitting Linear Mixed-E↵ects Models Using lme4". In: Journal of Statistical Software 67.1. issn: 03275477. doi: 10. 18637/jss.v067.i01.
- Bennett, Derrick A (2001). "How can I deal with missing data in my study?" In: Australian & New Zealand Journal of Public Health 25.5, pp. 464-469.
- Bernard, Aude and Sergi Vidal (2020). "Does moving in childhood and adolescence a↵ect residential mobility in adulthood? An analysis of long- term individual residential trajectories in 11 European countries". In: Population, Space and Place 26.1. issn: 15448452. doi: 10.1002/psp. 2286. Biddle, Nicholas and Sarah Prout (2009). "The geography and demography of Indigenous temporary mobility: An analysis of the 2006 census snapshot". In: Journal of Population Research 26.4, pp. 305-326. issn: 14432447. doi: 10.1007/s12546-010-9026-1.
- Bolker, Benjamin M. et al. (2009). "Generalized linear mixed models: a practical guide for ecology and evolution". In: Trends in Ecology and Evolution 24.3, pp. 127-135. issn: 01695347. doi: 10.1016/j.tree. 2008.10.008. arXiv: 1003.3921v1.
- Bradley, Andrew Peter (1996). "Machine learning for medical diagnostics : techniques for feature extraction, classification, and evaluation". PhD thesis. University of Queensland.
- Brockmann, D, L Hufnagel, and T Geisel (2006). "The scaling laws of human travel." In: Nature 439.7075, pp. 462-5. issn: 1476-4687. doi: 10.1038/ nature04292. arXiv: 0605511 [cond-mat]. url: http://dx.doi.org/ 10.1038/nature04292.
- Burnham, K.P. and D.R. Anderson (2002). Model Selection and Infer- ence: A Practical Information-Theoretic Approach. 2nd Editio. Vol. 53.
- Springer-Verlag, New York. isbn: 9788578110796. doi: 10 . 1017 / CBO9781107415324.004. arXiv: arXiv:1011.1669v3.
- Buuren, Stef van and Karin Groothuis-Oudshoorn (2011). "mice: Multivariate imputation by chained equations in R". In: Journal of Statistical Software 45.3, pp. 1-67. issn: 15487660. doi: 10.18637/jss.v045.i03.
- Camp, Tracy, Je↵ Boleng, and Vanessa Davies (2002). "A survey of mobility models for ad hoc network research". In: Wireless Communications and Mobile Computing 2.5, pp. 483-502. issn: 15308669. doi: 10.1002/wcm.
- Carey Henry, Charles (1858). Principles of Social Science. Philadelphia: J. B. Lippincott & Co. Carpenter, James R. and Michael G. Kenward (2013). Multiple Imputation and its Application. John Wiley & Sons, Ltd.
- Carr, Gregory J. and Eric M. Chi (1992). "Analysis of variance for repeated measures data: A generalized estimating equations approach". In: Statistics in Medicine 11.8, pp. 1033-1040. issn: 10970258. doi: 10.1002/sim. 4780110805. Carson, Dean and Kirsten Zander (2012). When Census Night is not a 'Usual' Night. Tech. rep. 1, pp. 1-11.
- Chan, Jasper Fuk Woo et al. (2020). "A familial cluster of pneumonia as- sociated with the 2019 novel coronavirus indicating person-to-person transmission: a study of a family cluster". In: The Lancet 395.10223, pp. 514-523. issn: 1474547X. doi: 10.1016/S0140-6736(20)30154-9. url: http://dx.doi.org/10.1016/S0140-6736(20)30154-9.
- Chidgzey, Philippa J. et al. (2015). "An outbreak of influenza A (H1N1) virus in a remote Aboriginal community post-pandemic: Implications for pandemic planning and health service policy". In: Australian and New Zealand Journal of Public Health 39.1, pp. 15-20. issn: 17536405. doi: 10.1111/1753-6405.12295.
- Crepet, Amelie, Hugo Harari-kermadec, and Jessica Tressou (2009). "Us- ing Empirical Likelihood to Combine Data : Application to Food Risk Assessment". In: Biometrics 65, pp. 257-266. doi: 10.1111/j.1541- 0420.2008.01051.x.
- De Silva, Anurika Priyanjali et al. (2017). "A comparison of multiple impu- tation methods for handling missing values in longitudinal data in the presence of a time-varying covariate with a non-linear association with time : a simulation study". In: pp. 1-11. doi: 10.1186/s12874-017- 0372-y.
- Dockery, Alfred Michael and Simon Colquhoun (2012). "Mobility of Aboriginal and Torres Strait Islander people : A literature review". Ninti One Limited, Alice Springs.
- Egger, Matthias and George Davey Smith (1997). "Meta-analysis: Potentials and promise". In: Bmj 315.7119, pp. 1371-1374. issn: 14685833. doi: 10.1136/bmj.315.7119.1371.
- Ellmer, K (2001). "Resistivity of polycrystalline zinc oxide films: current status and physical limit". In: Journal of Physics D: Applied Physics 34.21, pp. 3097-3108. issn: 0022-3727. doi: 10.1088/0022-3727/34/21/301.
- Farhan, J and F Fwa (2014). "Augmented Stochastic Multiple Imputation Model for Airport Pavement Missing Data Imputation". In: Transportation Research Record: Journal of the Transportation Research Board 2449. doi: 10.3141/2449-11.
- Fawcett, Tom (2006). "An introduction to ROC analysis Tom". In: Pattern Recognition Letters 27, pp. 861-874. issn: 18760988. doi: 10.1016/j. patrec.2005.10.010. arXiv: /dx.doi.org/10.1016/j.patrec.200 [http:].
- Fichman, Mark and Jonathon N Cummings (2003). "Multiple Imputation for Missing Data : Making the Most of What You Know". In: 6.3, pp. 282-308. doi: 10.1177/1094428103255532.
- Fielding, Shona et al. (2008). "Simple imputation methods were inadequate for missing not at random (MNAR) quality of life data". In: Health and Quality of Life Outcomes 6.1, p. 57.
- Flint, Shaun M. et al. (2010). "Disproportionate impact of pandemic (H1N1) 2009 influenza on Indigenous people in the Top End of Australia's Northern Territory". In: Medical Journal of Australia 192.10, pp. 617-622. issn: 0025729X.
- Ford, Andrew (2009). Modeling the Environment. 2nd Ed. Island Press, Washington D.C. Giannotti, Fosca et al. (2011). "Unveiling the complexity of human mobility by querying and mining massive trajectory data". In: VLDB Journal 20.5, pp. 695-719. doi: 10.1007/s00778-011-0244-8.
- Gilks, W.R., S. Richardson, and D.J. Spiegelhalter (1996). Markov chain Monte Carlo in practice.
- Gonzalez, M C, C A Hidalgo, and Albert-Laszlo Barabasi (2008). "Understand- ing individual human mobility patterns". In: Nature 453.7196, pp. 779-782. issn: 1476-4687. doi: 10.1038/nature06958. arXiv: /arxiv.org/pdf/ 0806.1256 [http:].
- Guérin, Pauline B. and B. Guérin (2009). "Social E↵ects of Fly-in-Fly-out and Drive-in-Drive-out Services for Remote Indigenous Communities". In: The Australian Community Psychologist.
- Hand, David J. (2009). "Measuring classifier performance: A coherent alter- native to the area under the ROC curve". In: Machine Learning 77.1, pp. 103-123. issn: 08856125. doi: 10.1007/s10994-009-5119-5.
- Havlin, Shlomo and Daniel Ben-avraham (2016). "Di↵usion in dis- ordered media". In: Advances in Physics 8732.December. doi: 10.1080/00018730110116353.
- Hayati Rezvan, Panteha, Katherine J Lee, and Julie A Simpson (2015). "The rise of multiple imputation: a review of the reporting and implementation of the method in medical research". In: BMC Medical Research Method- ology 15.1, p. 30. issn: 1471-2288. doi: 10.1186/s12874-015-0022-1. url: http://bmcmedresmethodol.biomedcentral.com/articles/10. 1186/s12874-015-0022-1.
- Hedges, Larry and Ingram Olkin (1985). "Statistical Methods in Meta- Analysis". In: vol. 20. doi: 10.2307/1164953.
- Hosmer, David W. and Stanley Lemeshow (2000). Applied Logistic Regression. 1st ed. John Wiley & Sons, Ltd.
- Hui, Ben B. et al. (2020). "Modelling testing and response strategies for COVID-19 outbreaks in remote Australian Aboriginal communities". In: medRxiv. doi: 10.1101/2020.10.07.20208819.
- Inoue, Atsushi and Gary Solon (2010). "Two-sample instrumental variables estimators". In: Review of Economics and Statistics 92.3, pp. 557-561. issn: 00346535. doi: 10.1162/REST_a_00011.
- Jerrim, John, Álvaro Choi, and Rosa Simancas (2014). "Two-sample two-stage least squares (TSTSLS) estimates of earnings mobility: How consistent are they?" J.L. Schafer (1997). "Analysis of Incomplete Multivariate Data". In: Jurdak, Raja et al. (2015). "Understanding Human Mobility from Twitter". In: PLoS ONE, pp. 1-16. doi: 10.1371/journal.pone.0131469.
- Kahlmeter, Anna (2020). "Does housing instability matter for youths' edu- cational attainment? Findings from Swedish longitudinal register data". In: Acta Sociologica (United Kingdom). issn: 15023869. doi: 10.1177/ Kang, Chaogui et al. (2015). "A generalized radiation model for human mobility: Spatial scale, searching direction and trip constraint". In: PLoS ONE 10.11, pp. 1-12. issn: 19326203. doi: 10.1371/journal.pone. 0143500.
- Kim, Chansung (2008). "Commuting time stability: A test of a co-location hypothesis". In: Transportation Research Part A: Policy and Practice 42.3, pp. 524-544. issn: 09658564. doi: 10.1016/j.tra.2008.01.001.
- Kim, Jungmin, Juyong Park, and Wonjae Lee (2018). "Why do people move? Enhancing human mobility prediction using local functions based on public records and SNS data". In: PLoS ONE 13.2, pp. 1-29. issn: 19326203. doi: 10.1371/journal.pone.0192698.
- Klaassen, D B M (1992). "Simulation-I . Model Equations and Concentration Dependence". In: Solid-State Electronics 35.7.
- Klevmarken, Anders, N. (1982). "Missing Variables and Two-stage Least- s˜ares Estimation from More than One Data Set".
- Kowarik, Alexander and Matthias Templ (2016). "Imputation with the R package VIM". In: Journal of Statistical Software 74.7. issn: 15487660. doi: 10.18637/jss.v074.i07.
- Lee, Y and J. A. Nelder (1996). "Hierarchical Generalized Linear Models". In: Journal of the Royal Statistical Society Series B: Methodological 58.4, pp. 619-678. doi: 10.1002/jae.l057.
- Leulescu, Aura and Mihaela Agafitei (2013). "Statistical matching: a model based approach for data integration".
- Little, Roderick J.A. and Donald B. Rubin (2002). Statistical Analysis with missing data. John Wiley & Sons, Ltd.
- Liu, Yu et al. (2014). "Uncovering patterns of inter-urban trip and spatial interaction from social media check-in data". In: PLoS ONE 9.1. issn: 19326203. doi: 10.1371/journal.pone.0086026. arXiv: 1310.0282. Maarel, Eddy van der and Martin T. Sykes (1997). "Rates of small-scale species mobility in alvar limestone grassland". In: Journal of Vegtation Sciences 8.5, pp. 199-208. doi: 10.1007/s00425-001.
- Madley-Dowd, Paul et al. (2019). "The proportion of missing data should not be used to guide decisions on multiple imputation". In: Journal of Clinical Epidemiology 110, pp. 63-73. issn: 0895-4356. doi: https: //doi.org/10.1016/j.jclinepi.2019.02.016. url: https://www. sciencedirect.com/science/article/pii/S0895435618308710.
- Mangal, Tara D. et al. (2016). "Spatial Dynamics and High Risk Transmission Pathways of Poliovirus in Nigeria 2001-2013". In: Plos One 11.9, e0163065. issn: 1932-6203. doi: 10 . 1371 / journal . pone . 0163065. url: http : //dx.plos.org/10.1371/journal.pone.0163065.
- Marchand, Bernard (Northwestern University) (1972). "Book Reviews". In: Geographical Analysis, pp. 89-95.
- Martens, Edwin P. et al. (2006). "Instrumental variables: Application and limitations". In: Epidemiology 17.3, pp. 260-267. issn: 10443983. doi: 10.1097/01.ede.0000215160.88317.cb.
- Martín, Juan Carlos and Gustavo Nombela (2007). "Microeconomic impacts of investments in high speed trains in Spain". In: Annals of Regional Science 41.3, pp. 715-733. issn: 05701864. doi: 10.1007/s00168-007-0116-8.
- Masucci, A. Paolo et al. (2013). "Gravity versus radiation models: On the importance of scale and heterogeneity in commuting flows". In: Physical Review E -Statistical, Nonlinear, and Soft Matter Physics 88.2, pp. 1-8. issn: 15393755. doi: 10 . 1103 / PhysRevE . 88 . 022812. arXiv: arXiv : 1206.5735v2.
- Mcardle, Gavin et al. (2014). "Using Digital Footprints for a City-Scale Tra c Simulation". In: ACM Transactions on Intelligent Systems and Technology 5.3, pp. 1-16. issn: 21576904. doi: 10.1145/2517028. url: http:// www.scopus.com/inward/record.url?eid=2-s2.0-84907448234{\&
- Memmott, P, S Long, and L Thomson (2006). Indigenous Mobility in Rural and Remote Australia. Tech. rep. 90. url: http://www.ahuri.edu.au/ publications/projects/p20260.
- Milne, George, Chloe Fermanis, and Paul Johnston (2008). "A mobility model for classical swine fever in feral pig populations". In: Veterinary Research 39.6. issn: 09284249. doi: 10.1051/vetres:2008029.
- Mollgaard, Anders, Sune Lehmann, and Joachim Mathiesen (2017). "Cor- relations between human mobility and social interaction reveal general activity patterns". In: PLoS ONE 12.12, pp. 1-16. issn: 19326203. doi: 10.1371/journal.pone.0188973. arXiv: 1611.08262.
- Montroll, Elliott W. and George H. Weiss (1965). "Random Walks on Lattices. II". In: Journal of Mathematical Physics 6.2, pp. 167-181. issn: 0022-2488. doi: 10.1063/1.1704269. url: http://aip.scitation.org/doi/10. 1063/1.1704269.
- Morphy, Frances (2006). "Lost in translation? Remote Indigenous households and definitions of the family". In: Family Matters 73, pp. 23-31. issn: 1756-1833. doi: 10.1136/bmj.39535.519167.4E. url: http://dx.doi. org/10.1038/embor.2013.90.
- -(2007). "Unicontained Subjects : 'Population' and 'Household' in remote Aboriginal Australia". In: Journal of Population Research 24.2, pp. 163- 184.
- Newman, Daniel A (2014). "Missing Data : Five Practical Guidelines". In: 17.4, pp. 372-411. doi: 10.1177/1094428114548590.
- Ortuzar, J. D. and L. G. Willumsen (2011). "Modelling Transport, 4th
- Edition". English. In: Modelling Transport, 4th Edition. BLACKWELL SCIENCE PUBL. isbn: 978-1-119-99331-5; 978-0-470-76039-0.
- Pacini, David and Frank Windmeijer (2016). "Robust inference for the Two- Sample 2SLS estimator". In: Economics Letters 146, pp. 50-54. issn: 01651765. doi: 10.1016/j.econlet.2016.06.033.
- Pappalardo, Luca et al. (2013). "Understanding the patterns of car travel". In: European Physical Journal: Special Topics 215.1, pp. 61-73. issn: 19516355. doi: 10.1140/epjst/e2013-01715-5.
- Peterson, Ashley and Emily Martin (2016). "Filling in the Gaps : Using Multiple Imputation to Improve Statistical Accuracy". In: Rose-Hulman Undergraduate Mathematics Journal 17.2. Pierce, Brandon L. and Stephen Burgess (2013). "E cient design for mendelian randomization studies: Subsample and 2-sample instrumental variable estimators". In: American Journal of Epidemiology 178.7, pp. 1177-1184. issn: 00029262. doi: 10.1093/aje/kwt084.
- Pinheiro, Jose C and Douglas M Bates (2000). Mixed-E↵ects Models in S and S-PLUS. Springer.
- Prout, S (2008). "On the move ? Indigenous temporary mobility practices in Australia". url: http : / / caepr . anu . edu . au / Publications / WP / 2008WP48.php. R Core Team (2020). R: A Language and Environment for Statistical Com- puting. R Foundation for Statistical Computing. Vienna, Austria. url: https://www.R-project.org/.
- Raghunathan, T E et al. (2001). "A multivariate technique for multiply imputing missing values using a sequence of regression models". In: Survey Methodology 27.1, pp. 85-95. issn: 0714-0045.
- Ranković Plazinić, Biljana and Jadranka Jović (2014). "Women and trans- portation demands in rural Serbia". In: Journal of Rural Studies 36, pp. 207-218. issn: 07430167. doi: 10.1016/j.jrurstud.2014.08.002. Raudenbush, Stephen W., Meng Li Yang, and Matheos Yosef (2000). "Max- imum Likelihood for Generalized Linear Models with Nested Random E↵ects via High-Order, Multivariate Laplace Approximation". In: Jour- nal of Computational and Graphical Statistics 9.1, pp. 141-157. issn: 15372715. doi: 10.1080/10618600.2000.10474870.
- Reilly W, J (1929). Methods for the study of retail relationships. Austin, Tex.: The University.
- Ren, Yihui et al. (2014). "Predicting commuter flows in spatial networks using a radiation model based on temporal ranges." In: Nature communications 5, p. 5347. issn: 2041-1723. doi: 10.1038/ncomms6347. arXiv: 1410.4849. url: http://www.ncbi.nlm.nih.gov/pubmed/25373437.
- Rennie, Ellie et al. (2013). "At home on the outstation: Barriers to home Internet in remote Indigenous communities". In: Telecommunications Policy 37.6, pp. 583-593. url: https://EconPapers.repec.org/RePEc: eee:telpol:v:37:y:2013:i:6:p:583-593.
- Rhee, Injong et al. (2011). "On the Levy-Walk Nature of Human Mobility". In: IEEE/ ACM Transactions on Networking 19.3, pp. 630-643.
- Rhodes, J.R. et al. (2009). "GLMM Applied on the Spatial Distribution of Koalas in a Fragmented Landscape". In: Mixed e↵ects models and extensions in ecology with R. New York, NY: Springer New York, pp. 469- 492. isbn: 978-0-387-87458-6. doi: 10.1007/978-0-387-87458-6_21. url: https://doi.org/10.1007/978-0-387-87458-6_21.
- Ridder, Geert and Robert Mo tt (2007). "The Econometrics of Data Combi- nation". In: Handbook of Econometrics. Vol.
- SUPPL. PART B, pp. 5469- 5547. isbn: 9780444532008. doi: 10.1016/S1573-4412(07)06075-8.
- Riou, Julien and Christian L. Althaus (2020). "Pattern of early human- to-human transmission of Wuhan 2019 novel coronavirus (2019-nCoV), December 2019 to January 2020". In: Eurosurveillance 25.4, pp. 1-5. issn: 15607917. doi: 10 . 2807 / 1560 -7917 . ES . 2020 . 25 . 4 . 2000058. url: http://dx.doi.org/10.2807/1560-7917.ES.2020.25.4.2000058.
- Robin, Xavier et al. (2011). "pROC: an open-source package for R and S+ to analyze and compare ROC curves". In: BMC Bioinformatics 8, pp. 12-77. issn: 0342-4642. doi: 10.1007/s00134-009-1641-y. url: http://link.springer.com/10.1007/s00134-009-1641-y.
- Robinson, Andrew P and Je↵ D Hamann (2011). Forest Analytics with R. isbn: 978-0-387-78170-9. doi: 10.1007/978-0-387-78171-6. arXiv: arXiv:1011.1669v3.
- Rodríguez, Germán and Noreen Goldman (2001). "Improved estimation procedures for multilevel models with binary response: A case-study". In: Journal of the Royal Statistical Society. Series A: Statistics in Society 164.2, pp. 339-355. issn: 09641998. doi: 10.1111/1467-985X.00206.
- Rubin, Donald B. (1977). "Formalizing Subjective Notions About the E↵ect of Nonrespondents in Sample Surveys". In: Journal of the American Statistical Association 72.359, pp. 538-543. issn: 1537274X. doi: 10. 1080/01621459.1977.10480610.
- Rubin, Donald B. (1987). Multiple Imputation for Nonresponse in Surveys. John Wiley & Sons, Inc.
- Rubin, Donald B (1996). "Multiple Imputation After 18+ Years". In: Journal of the American Statistical Association 91.434, pp. 473-489.
- Sandip, Sinharay (Iowa State University), Hal S.(Iowa State University) Stern, and Daniel (Iowa State University) Russell (2001). "The use of Multiple Imputation for the Analysis of missing data.pdf". In: Psychological Methods 6.6, pp. 317-329. doi: 10.1037//1082-989X.6.4.317.
- Sayers, S M et al. (2003). "An Australian Aboriginal Birth Cohort: a unique resource for a life course study of an Indigenous population. A study protocol". In: BMC International Health and Human Rights 3.1, p. 1. url: http://www.ncbi.nlm.nih.gov/pubmed/12659639.
- Sayers, Susan M, Dorothy Mackerras, and Gurmeet R Singh (2017). "Cohort Profile: The Australian Aboriginal Birth Cohort (ABC) study". In: In- ternational Journal of Epidemiology, dyw291. issn: 0300-5771. doi: 10. 1093/ije/dyw291. url: https://academic.oup.com/ije/article- lookup/doi/10.1093/ije/dyw291.
- Schafer, Joseph L. and John W. Graham (2002). "Missing data: Our view of the state of the art." In: Psychological Methods 7.2, pp. 147-177. issn: 1082-989X. doi: 10 . 1037 / /1082 -989X . 7 . 2 . 147. url: http : //doi.apa.org/getdoi.cfm?doi=10.1037/1082-989X.7.2.147.
- Schafer, Joseph L. and Maren K. Oslen (1998). "Multiple Imputation for Multivariate Missing-Data Problems: A Data Analyst's Perspective". In: Multivariate Behavioral Research 33.4, pp. 479-507. issn: 0027-3171. doi: 10 . 1207 / s15327906mbr3304. url: http : / / dx . doi . org / 10 . 1207 / s15327906mbr3304{\_}5.
- Schneider, Morton (1959). "GRAVITY MODELS AND TRIP DISTRIBU- TION THEORY." In: Papers in Regional Science 5.1, p. 51. issn: 10568190. url: https : / / search . ebscohost . com / login . aspx ? direct = true & AuthType=sso&db=edb&AN=62775385&site=eds-live&scope=site& custid=s2775460. Simini, Filippo, Amos Maritan, and Zoltán Néda (2013). "Human Mobility in a Continuum Approach". In: PLoS ONE 8.3. issn: 19326203. doi: 10.1371/journal.pone.0060069. arXiv: 1206.4359.
- Simini, Filippo et al. (2012). "A universal model for mobility and migration patterns". In: Nature 484.7392, pp. 96-100. issn: 1476-4687. doi: 10. 1038/nature10856. arXiv: 1111.0586. url: http://dx.doi.org/10. 1038 / nature10856{\ % }5Cnpapers3 : / / publication / doi / 10 . 1038 / nature10856.
- Sing, Tobias et al. (2005). "ROCR: Visualizing classifier performance in R". In: Bioinformatics 21.20, pp. 3940-3941. issn: 13674803. doi: 10.1093/ bioinformatics/bti623.
- Song, Chaoming et al. (2010). "Modelling the scaling properties of human mobility". In: Nature Physics 6.10, pp. 818-823. issn: 1745-2473. doi: 10.1038/nphys1760. url: http://dx.doi.org/10.1038/nphys1760.
- Stewart, John Q (Princeton University) (1948). "Demographic Gravitation : Evidence and Applications". In: American Sociological Association 11.1, pp. 31-58.
- Stijnen, Theo, Taye H. Hamza, and Pinar Özdemir (2010). "Random e↵ects meta-analysis of event outcome in the framework of the generalized linear mixed model with applications in sparse data". In: Statistics in Medicine 29.29, pp. 3046-3067. issn: 02776715. doi: 10.1002/sim.4040.
- Stou↵er, A. Samuel (University of Chicago (1940). "Intervening Opportunities: A Theory Relating Mobility and Distance". In: American Sociological Review 5. doi: 10.1007/sl0869-007-9037-x.
- Theil, Henri and Anthony J Finizza (1971). "A note on the measurement of racial integration of schools by means of informational concepts". In: Journal of Mathematical Sociology 1, pp. 187-194. doi: 10.1080/ 0022250X.1971.9989795.
- Thurfjell, Henrik, Simone Ciuti, and Mark S Boyce (2014). "Applications of step-selection functions in ecology and conservation". In: Movement Ecology 2.1, p. 4. issn: 2051-3933. doi: 10.1186/2051-3933-2-4. arXiv: arXiv : 1011 . 1669v3. url: http : / / www . movementecologyjournal . com/content/2/1/4.
- Tizzoni, Michele et al. (2014). "On the Use of Human Mobility Proxies for Modeling Epidemics". In: PLoS Computational Biology 10.7. issn: 15537358. doi: 10.1371/journal.pcbi.1003716. arXiv: 1309.7272.
- Trauer, J M et al. (2011). "Di↵erential E↵ects of Pandemic (H1N1) 2009 on Remote and Indigenous Groups, Northern Territory, Australia, 2009". In: Emerging Infectious Diseases journal 17.9, pp. 1615-1623. issn: 10806040. doi: 10.3201/eid1709.101196. url: http://www.ncbi.nlm.nih.gov/ pubmed/21888786.
- Valery, Patricia C. et al. (2008). "Skin infections among Indigenous Aus- tralians in an urban setting in Far North Queensland". In: Epidemiology and Infection 136.8, pp. 1103-1108. issn: 09502688. doi: 10 . 1017 / S0950268807009740.
- Van Buuren, S. et al. (2006). "Fully conditional specification in multivariate imputation". In: Journal of Statistical Computation and Simulation 76.12, pp. 1049-1064. issn: 00949655. doi: 10.1080/10629360600810434.
- Viboud, Cecile et al. (2006). "Synchrony, Waves, and Spatial Hierarchies in the Spread of Influenza". In: Science 312, pp. 447-451.
- Vino, T. et al. (2017). "Indigenous Australian household structure: A simple data collection tool and implications for close contact transmission of communicable diseases". In: PeerJ 2017.10. issn: 21678359. doi: 10. 7717/peerj.3958.
- Welch, Catherine, Jonathan Bartlett, and Irene Petersen (2014). "Application of multiple imputation using the two-fold fully conditional specification algorithm in longitudinal clinical data". In: Stata Journal 14.2, pp. 418- 431. issn: 1536867X. doi: TheStataJournal. arXiv: TheStataJournal.
- Wesolowski, Amy et al. (2015). "Evaluating Spatial Interaction Models for Re- gional Mobility in Sub-Saharan Africa". In: PLoS Computational Biology 11.7, pp. 1-16. issn: 15537358. doi: 10.1371/journal.pcbi.1004267. url: http://dx.doi.org/10.1371/journal.pcbi.1004267. White, Ian R. and John B. Carlin (2010). "Bias and e ciency of multiple imputation compared with complete-case analysis for missing covariate values". In: Statistics in Medicine 29.28, pp. 2920-2931. issn: 02776715. doi: 10.1002/sim.3944.
- White, Ian R., Patrick Royston, and Angela M. Wood (2011). "Multiple imputation using chained equations: Issues and guidance for practice". In: Statistics in Medicine 30.4, pp. 377-399. issn: 02776715. doi: 10.1002/ sim.4067. Wolfinger, Russ and Michael O'Connell (1993). "Generalized Linear Mixed Models: A Pseudo-Likelihood Approach". In: Journal of Statistical Com- putation and Simulation 48.3-4, pp. 233-243. issn: 15635163. doi: 10. 1080/00949659308811554.
- Wu, Zhenhua et al. (2006). "Transport in Weighted Networks : Partition into Superhighways and Roads". In: 148702.April, pp. 1-4. doi: 10.1103/ PhysRevLett.96.148702.
- Yang, Xiping, Zhiyuan Zhao, and Shiwei Lu (2016). "Exploring spatial- temporal patterns of urban human mobility hotspots". In: Sustainability (Switzerland) 8.7. issn: 20711050. doi: 10.3390/su8070674.
- Zander, Kerstin, Andrew Taylor, and Dean Carson (2012). Technology adop- tion and temporary Indigenous mobility in the Northern Territory. Tech. rep. 1, pp. 1-5.
- Zander, Kerstin K, Andrew J Taylor, and Dean B Carson (2016). "Australia : Insights from the 2011 Census". In: 116.July 2014, pp. 99-116.
- Zhao, Pengjun and Zhao Yu (2020). "Investigating mobility in rural areas of China: Features, equity, and factors". In: Transport Policy 94.May, pp. 66-77. issn: 1879310X. doi: 10.1016/j.tranpol.2020.05.008. url: https://doi.org/10.1016/j.tranpol.2020.05.008.